{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f864266c-f367-4270-8bf7-91bed58594a9",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-05-06T09:42:24.312181Z",
     "start_time": "2025-05-06T09:42:24.309182Z"
    }
   },
   "outputs": [],
   "source": [
    "# !pip install -i https://pypi.tuna.tsinghua.edu.cn/simple gym==0.25.2\n",
    "# !pip install -i https://pypi.tuna.tsinghua.edu.cn/simple pygame==2.5.2\n",
    "# !pip install -i https://pypi.tuna.tsinghua.edu.cn/simple moviepy\n",
    "# !pip install -i https://pypi.tuna.tsinghua.edu.cn/simple tqdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b6be63ed-e8a6-4572-b6b4-952f7bf07c13",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-05-06T09:42:25.410465Z",
     "start_time": "2025-05-06T09:42:24.312181Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "# 定义函数\n",
    "def sigmoid_c(x, c):\n",
    "    return np.exp(x) / (np.exp(x) + c)\n",
    "\n",
    "# 定义 x 范围\n",
    "x = np.linspace(-10, 10, 400)\n",
    "\n",
    "# 计算不同 c 值下的函数值\n",
    "y_c0 = sigmoid_c(x, 0)\n",
    "y_c1 = sigmoid_c(x, 1)\n",
    "y_c2 = sigmoid_c(x, 2)\n",
    "y_c5 = sigmoid_c(x, 5)\n",
    "y_c10 = sigmoid_c(x, 10)\n",
    "y_c100 = sigmoid_c(x, 100)\n",
    "\n",
    "# 画图\n",
    "plt.figure(figsize=(10, 8))\n",
    "plt.plot(x, y_c0, label='$\\\\frac{e^x}{e^x + 0}$')\n",
    "plt.plot(x, y_c1, label='$\\\\frac{e^x}{e^x + 1}$')\n",
    "plt.plot(x, y_c2, label='$\\\\frac{e^x}{e^x + 2}$')\n",
    "plt.plot(x, y_c5, label='$\\\\frac{e^x}{e^x + 5}$')\n",
    "plt.plot(x, y_c10, label='$\\\\frac{e^x}{e^x + 10}$')\n",
    "plt.plot(x, y_c100, label='$\\\\frac{e^x}{e^x + 100}$')\n",
    "plt.title('Graph of $\\\\frac{e^x}{e^x + c}$ for different values of $c$')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "71302bbb-2428-4edf-9eb4-2f3067c6b5de",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-05-06T09:42:25.412561Z",
     "start_time": "2025-05-06T09:42:25.410465Z"
    }
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6fee4bf7-8e0c-494f-a099-fda0f4161e4a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-05-06T09:42:25.416946Z",
     "start_time": "2025-05-06T09:42:25.412561Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\41507\\AppData\\Local\\Temp\\ipykernel_32536\\4094539076.py:13: RuntimeWarning: invalid value encountered in divide\n",
      "  normalized_data = np.where(max_abs_vals > 0, data / max_abs_vals, 0)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[ 0.        ,  0.        ,  0.        ],\n",
       "       [ 0.66666667,  0.83333333,  1.        ],\n",
       "       [-0.77777778, -0.88888889, -1.        ],\n",
       "       [ 1.        ,  0.        , -1.        ]])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "# 示例数据\n",
    "data = np.array([\n",
    "    [0, 0, 0],\n",
    "    [4, 5, 6],\n",
    "    [-7, -8, -9],\n",
    "    [10, 0, -10]  # 包含负数的行\n",
    "])\n",
    "\n",
    "# 使用每行的最大绝对值进行标准化\n",
    "max_abs_vals = np.max(np.abs(data), axis=1, keepdims=True)\n",
    "normalized_data = np.where(max_abs_vals > 0, data / max_abs_vals, 0)\n",
    "normalized_data"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
